Aman jogs at a speed of 1.6 m/s. his dog waits 1.8 s and then takes off running at a speed of 3 m/s to catch the man. how far will they have each traveled when the dog catches up with the man? answer in units of m.

The dog catches up with the man 6.1714m later.

Explanation:

The first thing to take into account is the speed formula. It is , where v is speed, d is distance and t is time. From this formula, we can get the distance formula by finding d, it is

Now, the distance equation for the man would be:

The distance equation for the dog would be obtained by the same way with just a little detail. The dog takes off running 1.8s after the man did. So, in the equation we must subtract 1.8 from t.

For a better understanding, at t=1.8 the dog must be in d=0. Let's verify:

Now, for finding how far they have each traveled when the dog catches up with the man we must match the equations of each one.

The result obtained previously means that the dog catches up with the man 3.8571s after the man started running.

That value is used in the man's distance equation.

Finally, the dog catches up with the man 6.1714m later.

a straight line sloped